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Algebraic Kaluza-Klein cosmology

Authors
  • Madore, J.
  • Mourad, J.
Publication Date
Jan 01, 1993
Identifiers
DOI: 10.1088/0264-9381/10/10/023
OAI: oai:inspirehep.net:364717
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

A modification of Kaluza-Klein theory has been proposed in which the internal space is replaced by an algebraic structure described by a non-commutative geometry based on the algebra Mn of n * n matrices. It is shown that this theory is identical to traditional Kaluza-Klein theory with the group SUn as the internal space provided that in the latter one makes the assumption that only SUn-invariant modes are used. In the algebraic version there is an added freedom in that the 'curvature' of the internal structure can take arbitrary values. Some cosmological implications of the resulting Einstein-Hilbert action are mentioned.

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